[en] A mathematical analysis of the numerical approximation to incompressibility with nearly incompressible displacement finite elements is presented. It explains why, as observed by many authors, convergence to the incompressible solution is not necessarily obtained when Poisson's ration is increased up to 0.5. It also allows predicting under which conditions convergence of the nearly incompressible approach is guaranteed.
Disciplines :
Mechanical engineering
Author, co-author :
Debongnie, Jean-François ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Méthodes de fabrication
Language :
English
Title :
On the approximation of incompressible solids in the displacement method
Alternative titles :
[fr] Sur l'approximation des solides incompressibles dans le cadre de la méthode des déplacements
